SOLUTION: A piggy bank is 1/2 full of pennies. If 50 pennies are added, it is 2/3 full. How many pennies can it hold? I first set up the problem as .5x + 50 = 2/3x where x would be the

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Question 763480: A piggy bank is 1/2 full of pennies. If 50 pennies are added, it is 2/3 full. How many pennies can it hold?
I first set up the problem as .5x + 50 = 2/3x where x would be the 100% of the pennies in the bank, but then I realized I would get a number less than 50. I am not sure where to go with this.
Thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the number of pennies it can hold
given:
+%281%2F2%29%2Ap+%2B+50+=+%282%2F3%29%2Ap+
Multiply both sides by +6+
+3p+%2B+300+=+4p+
+p+=+300+
The bank can hold 300 pennies
check:
It's 1/2 full- that's 150 pennies
Add 50- that's 200 pennies
+200%2F300+=+2%2F3+ full
OK